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vovikov84 [41]
3 years ago
6

What is the answer to 7/10k -1/10k=1/2k+1

Mathematics
1 answer:
joja [24]3 years ago
7 0
The answer should be k=10
by simplifying both sides of the equation then isolating the variable. 
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A ferry departs from a port along the Sands River at 10:00 am. The ferry travels at a speed of 15 mph in still water and returns
jek_recluse [69]

Answer:

Speed of river's current = 5 mph

Step-by-step explanation:

Let 'd' be the distance covered  

 Let x be the speed of the rivers current

Speed upstream = 15-x

speed downstream = 15+x

Time = distance / speed

time upstream = \frac{d}{15-x}

time downstream = \frac{d}{15+x}

the ferry trip upstream takes twice as long as its return trip downstream

\frac{d}{15-x}= \frac{2d}{15+x}

divide both sides by d

\frac{1}{15-x}= \frac{2}{15+x}

cross multiply

15+x= 2(15-x)

15+x= 30-2x

Add 2x on both sideds

15+3x= 30

subtract 15 from both sides and divide by 3

3x=15

x=5

Speed of river's current = 5 mph

8 0
3 years ago
Andre is solving the inequality 14x+3 is less than or equal to 8x+3.he first solves a related equation
Arte-miy333 [17]

Answer:

14x+3=8x+3

14x+3 -3 = 8x+3 -3

Cancels out the 3

14x = 8x

14x - 8x = 8x -8x

Cancels out the 8x

14x = 0

x = 0

Step-by-step explanation:

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3 years ago
Which subset(s) of numbers does 8 2/3<br> belong to?
Tems11 [23]

Answer:

Rational number/integer

7 0
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A rectangle has an area of 171 square meters. Its width is ten meters less than the length. Find the measures of the length and
9966 [12]

Step-by-step explanation:

The area of a rectangle is 171 m²

Let l is the length and b is the width of the rectangle

It width is 10 m less than the length. So,

b = l-10 ...(1)

Area of a rectangle is given by :

A=l\times b\\\\171=l(l-10)\\\\l^2-10l=171\\\\l^2-10l-171=0\\\\l^2-19l+9l-171=0\\\\\text{taking common together}\\\\l(l-19)+9(l-19)=0\\\\(l-9)(l-19)=0

or

l = 9 m or l = 19 m

If l = 9 m,

b = 9-10 = -1 m (can't be possible)

If l = 19 m

b = 19-10 = 9 m

So, the length an the breadth of the rectangle is 19 m and 9 m respectively.

8 0
3 years ago
Divide 5x2 + 8x + 7 by 4x. Which expression represents the quotient?
olchik [2.2K]
The answer to this question is c
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3 years ago
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